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Number Occurs
Roll Succeeds
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Bell Curves
3d6: How Often A Number Occurs
Test 
Occurs 
Chances 
Percent 
3 
1 
1 
0.46% 
4 
3 
4 
1.85% 
5 
6 
10 
4.63% 
6 
10 
20 
9.26% 
7 
15 
35 
16.20% 
8 
21 
56 
25.93% 
9 
25 
81 
37.50% 
10 
27 
108 
50.00% 
11 
27 
135 
62.50% 
12 
25 
160 
74.07% 
13 
21 
181 
83.80% 
14 
15 
196 
90.74% 
15 
10 
206 
95.37% 
16 
6 
212 
98.15% 
17 
3 
215 
99.54% 
18 
1 
216 
100.00% 
This page is similar to the
2d6: Roll Succeeds
page, and shows the chances of rolling a certain total or less on 3d6.
If you are trying to roll a 13 or less (13) on 3d6, there are eleven
possible totals that would succeed: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and
13. A total of 14, 15, 16, 17, or 18 would fail the test.
Each of the successful totals occurs differing numbers of times in the table.
Frex, 3 occurs once, 4 occurs thrice, etc.
In order to determine the chance of rolling a total of 8,
we add up all the "chances" for each number that would be a success.
In our example,
this would be the total number of times each total from 3 to 8 occurs:
1+3+6+10+15+21,
for a total of 56 possible success in 216 total possible rolls,
56/216 or a 26% chance for any rolled total to be a success.
Copyright © 1999 Bob Simpson. All Rights Reserved. Last updated: 2001 Nov 29

